SOLUTION: The area of a rectangle gets reduced by 8 sq. metre, if its length is reduced by 5 metre and breadth is increased by 3 metre. If we increase the length by 3 metre and breadth by 2
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Question 937473: The area of a rectangle gets reduced by 8 sq. metre, if its length is reduced by 5 metre and breadth is increased by 3 metre. If we increase the length by 3 metre and breadth by 2 metre, the area is increased by 74 sq. metre. Find the length and breadth of the rectangle.?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The area of a rectangle gets reduced by 8 sq. metre, if its length is reduced by 5 metre and breadth is increased by 3 metre. If we increase the length by 3 metre and breadth by 2 metre, the area is increased by 74 sq. metre. Find the length and breadth of the rectangle.?
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let x=length of rectangle
let y=breadth of rectangle
original area=xy
xy-(x-5)(y+3)=8
(x+3)(y+2)-xy=74
..
xy-(xy-5y+3x-15)=8
-xy+(xy+3y+2x+6)=74
..
xy-xy+5y-3x+15=8
-xy+xy+3y+2x+6=74
..
5y-3x+15=8
3y+2x+6=74
..
10y-6x+30=16
9y+6x+18=222
add
19y+48=238
19y=190
y=10
2x=74-6-3y=38
x=19
length of rectangle=19 metres
breadth of rectangle=10 meters
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